On computing the evolution of temperature for materials under dynamic loading
Abstract
Modeling and simulation of the dynamic response of materials is important to many applications including the development of armor systems, understanding the safety of explosives, and assessing the crashworthiness of vehicles. Within such applications it is often critical to accurately compute the evolution of the temperature because it is a state variable that affects the kinetics of competing active processes within the material (e.g., dislocation motion, phase transformation, decomposition). Depending on the selection of an independent state variable, e.g. temperature or entropy, the approach for computing temperature is well understood based on the thermodynamic framework attributed to Coleman and Noll. However, different computational codes used for modeling the dynamic response of materials adopt different independent state variables. In this work, two thermodynamically consistent strategies for computing the temperature of a coupled thermodynamic state are compared and implemented into two different Lagrangian computational codes. The equivalence of these two approaches is established through the numerical solutions of several test problems. Finally, the implication of various approximations made to each of these approaches within the literature are assessed in the context of uniaxial stress conditions (split Hopkinson pressure bar experiments) and uniaxial strain conditions (plate impact experiments). Here, it is shown thatmore »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1463559
- Alternate Identifier(s):
- OSTI ID: 1703208
- Report Number(s):
- LA-UR-18-21769
Journal ID: ISSN 0749-6419
- Grant/Contract Number:
- AC52-06NA25396; DR 20170029; DR 20180100
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal of Plasticity
- Additional Journal Information:
- Journal Volume: 111; Journal ID: ISSN 0749-6419
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; thermodynamics; plastic heating; shock physics; constitutive model; dynamic loading; continuum hydrocode; finite element
Citation Formats
Luscher, Darby Jon, Buechler, Miles Allen, Walters, David J., Bolme, Cynthia Anne, and Ramos, Kyle James. On computing the evolution of temperature for materials under dynamic loading. United States: N. p., 2018.
Web. doi:10.1016/j.ijplas.2018.07.014.
Luscher, Darby Jon, Buechler, Miles Allen, Walters, David J., Bolme, Cynthia Anne, & Ramos, Kyle James. On computing the evolution of temperature for materials under dynamic loading. United States. https://doi.org/10.1016/j.ijplas.2018.07.014
Luscher, Darby Jon, Buechler, Miles Allen, Walters, David J., Bolme, Cynthia Anne, and Ramos, Kyle James. Tue .
"On computing the evolution of temperature for materials under dynamic loading". United States. https://doi.org/10.1016/j.ijplas.2018.07.014. https://www.osti.gov/servlets/purl/1463559.
@article{osti_1463559,
title = {On computing the evolution of temperature for materials under dynamic loading},
author = {Luscher, Darby Jon and Buechler, Miles Allen and Walters, David J. and Bolme, Cynthia Anne and Ramos, Kyle James},
abstractNote = {Modeling and simulation of the dynamic response of materials is important to many applications including the development of armor systems, understanding the safety of explosives, and assessing the crashworthiness of vehicles. Within such applications it is often critical to accurately compute the evolution of the temperature because it is a state variable that affects the kinetics of competing active processes within the material (e.g., dislocation motion, phase transformation, decomposition). Depending on the selection of an independent state variable, e.g. temperature or entropy, the approach for computing temperature is well understood based on the thermodynamic framework attributed to Coleman and Noll. However, different computational codes used for modeling the dynamic response of materials adopt different independent state variables. In this work, two thermodynamically consistent strategies for computing the temperature of a coupled thermodynamic state are compared and implemented into two different Lagrangian computational codes. The equivalence of these two approaches is established through the numerical solutions of several test problems. Finally, the implication of various approximations made to each of these approaches within the literature are assessed in the context of uniaxial stress conditions (split Hopkinson pressure bar experiments) and uniaxial strain conditions (plate impact experiments). Here, it is shown that the temperature rate or energy partition approaches are equivalent when implemented in their complete forms, but that several common simplifying assumptions, that are warranted in the case of uniaxial stress, lead to significant errors in the resulting Hugoniot state for plate impact.},
doi = {10.1016/j.ijplas.2018.07.014},
journal = {International Journal of Plasticity},
number = ,
volume = 111,
place = {United States},
year = {Tue Jul 24 00:00:00 EDT 2018},
month = {Tue Jul 24 00:00:00 EDT 2018}
}
Web of Science